2552995584 has 360 divisors, whose sum is σ = 8173563552. Its totient is φ = 790732800.

The previous prime is 2552995567. The next prime is 2552995619. The reversal of 2552995584 is 4855992552.

2552995584 is a `hidden beast` number, since 2 + 5 + 52 + 9 + 9 + 5 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2552995584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25277134 + ... + 25277234.

Almost surely, 2^2552995584 is an apocalyptic number.

2552995584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552995584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086781776).

2552995584 is an abundant number, since it is smaller than the sum of its proper divisors (5620567968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2552995584 is a wasteful number, since it uses less digits than its factorization.

2552995584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The square root of 2552995584 is about 50527.1766874026. The cubic root of 2552995584 is about 1366.7319736655.

The spelling of 2552995584 in words is "two billion, five hundred fifty-two million, nine hundred ninety-five thousand, five hundred eighty-four".